Displaying similar documents to “Quasi-basic submodules over valuation domains”

On some classes of modules

Gonca Güngöroglu, Harmanci, Abdullah (2000)

Czechoslovak Mathematical Journal

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The aim of this paper is to investigate quasi-corational, comonoform, copolyform and α -(co)atomic modules. It is proved that for an ordinal α a right R -module M is α -atomic if and only if it is α -coatomic. And it is also shown that an α -atomic module M is quasi-projective if and only if M is quasi-corationally complete. Some other results are developed.

Add ( U ) of a uniserial module

Pavel Příhoda (2006)

Commentationes Mathematicae Universitatis Carolinae

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A module is called uniserial if it has totally ordered submodules in inclusion. We describe direct summands of U ( I ) for a uniserial module U . It appears that any such a summand is isomorphic to a direct sum of copies of at most two uniserial modules.